GCD of 54, 145, 242, 184 Calculator

Given Input numbers are 54, 145, 242, 184

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 54, 145, 242, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 145, 242, 184 is 1.

Therefore, GCD of numbers 54, 145, 242, 184 is 1

Given Input Data is 54, 145, 242, 184

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 145 is 5 x 29

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 184 is 2 x 2 x 2 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(54, 145) = 7830

GCD(54, 145) = ( 54 x 145 ) / 7830

GCD(54, 145) = 7830 / 7830

GCD(54, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 54, 145, 242, 184 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 768, 126, 635
• GCD of 82, 782, 511, 518
• GCD of 69, 132, 471, 181
• GCD of 24, 372, 510, 137
• GCD of 51, 821, 978, 127

1. What is the GCD of 54, 145, 242, 184?

GCD of 54, 145, 242, 184 is 1

2. Where do I get the detailed procedure to find GCD of 54, 145, 242, 184?

You can find a detailed procedure to find GCD of 54, 145, 242, 184 on our page.

3. How to find GCD of 54, 145, 242, 184 on a calculator?

You can find the GCD of 54, 145, 242, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.